By Earl Swokowski, Jeffery A. Cole
The newest version within the hugely revered Swokowski/Cole precalculus sequence keeps the weather that experience made it so well liked by teachers and scholars alike: its exposition is apparent, the time-tested workout units characteristic a number of functions, its uncluttered structure is beautiful, and the trouble point of difficulties is acceptable and constant. Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY, vintage version, 12E, successfully prepares scholars for additional classes in arithmetic via its first-class, time-tested challenge units
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Additional resources for Algebra and Trigonometry with Analytic Geometry, Classic Edition
Product Formulas Formula Illustration (1) ͑x ϩ y͒͑x Ϫ y͒ ϭ x 2 Ϫ y 2 (2) ͑x Ϯ y͒2 ϭ x 2 Ϯ 2xy ϩ y 2 ͑2a ϩ 3͒͑2a Ϫ 3͒ ϭ ͑2a͒2 Ϫ 32 ϭ 4a2 Ϫ 9 ͑2a Ϫ 3͒2 ϭ ͑2a͒2 Ϫ 2͑2a͒͑3͒ ϩ ͑3͒2 ϭ 4a2 Ϫ 12a ϩ 9 (3) ͑x Ϯ y͒3 ϭ x 3 Ϯ 3x 2y ϩ 3xy 2 Ϯ y 3 ͑2a ϩ 3͒3 ϭ ͑2a͒3 ϩ 3͑2a͒2͑3͒ ϩ 3͑2a͒͑3͒2 ϩ ͑3͒3 ϭ 8a3 ϩ 36a2 ϩ 54a ϩ 27 Several other illustrations of the product formulas are given in the next example. 3 Algebraic Expressions 33 SOLUTION (a) We use product formula 1, with x ϭ 2r 2 and y ϭ 2s: ͑2r 2 Ϫ 2s͒͑2r 2 ϩ 2s͒ ϭ ͑2r 2͒2 Ϫ ͑ 2s͒2 ϭ 4r 4 Ϫ s (b) We use product formula 2, with x ϭ 2c and y ϭ ͩ 2c ϩ 1 ͪ 2 2c ϭ ͑ 2c ͒2 ϩ 2 и 2c и ϭcϩ2ϩ 1 2c 1 2c ϩ : ͩ ͪ 1 2 2c 1 c Note that the last expression is not a polynomial.
For example, (؊3)2/5 can be evaluated successfully as [(؊3)1/5]2 or [(؊3)2]1/5, whereas an error message might otherwise appear. Approximate the realnumber expression to four decimal places. 08͒7/3 3/7 Exer. 93–94: Approximate the real-number expression to four decimal places. 9͒Ϫ2 (b) 527 95 Savings account One of the oldest banks in the United States is the Bank of America, founded in 1812. 04͒180 dollars. Approximate this amount to the nearest cent. 2 2h. Approximate the distance that can be seen from the top of the Chicago Sears Tower, which is 1454 feet tall.
Express d in miles. ) 58 Fish population The population dynamics of many fish are characterized by extremely high fertility rates among adults and very low survival rates among the young. 00035% of the offspring survive to the age of 3 years. Use scientific form to approximate the number of offspring that live to age 3. 59 Frames in a movie film One of the longest movies ever made is a 1970 British film that runs for 48 hours. Assuming that the film speed is 24 frames per second, approximate the total number of frames in this film.
Algebra and Trigonometry with Analytic Geometry, Classic Edition by Earl Swokowski, Jeffery A. Cole